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Simplifying 150 = [0.5(9 + b)] * 12 150 = [(9 * 0.5 + b * 0.5)] * 12 150 = [(4.5 + 0.5b)] * 12 Reorder the terms for easier multiplication: 150 = 12[4.5 + 0.5b] 150 = [4.5 * 12 + 0.5b * 12] 150 = [54 + 6b] Solving 150 = 54 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 150 + -6b = 54 + 6b + -6b Combine like terms: 6b + -6b = 0 150 + -6b = 54 + 0 150 + -6b = 54 Add '-150' to each side of the equation. 150 + -150 + -6b = 54 + -150 Combine like terms: 150 + -150 = 0 0 + -6b = 54 + -150 -6b = 54 + -150 Combine like terms: 54 + -150 = -96 -6b = -96 Divide each side by '-6'. b = 16 Simplifying b = 16
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